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196577440 = 2552335273
BaseRepresentation
bin10111011011110…
…00100010100000
3111200220011112221
423231320202200
5400310434230
631301200424
74604611033
oct1355704240
9450804487
10196577440
11a0a655a4
1255a00114
1331959517
141c17101a
15123d027a
hexbb788a0

196577440 has 48 divisors (see below), whose sum is σ = 466495848. Its totient is φ = 78278656.

The previous prime is 196577429. The next prime is 196577461. The reversal of 196577440 is 44775691.

It can be written as a sum of positive squares in 4 ways, for example, as 129140496 + 67436944 = 11364^2 + 8212^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34644 + ... + 39916.

Almost surely, 2196577440 is an apocalyptic number.

196577440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196577440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233247924).

196577440 is an abundant number, since it is smaller than the sum of its proper divisors (269918408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

196577440 is a wasteful number, since it uses less digits than its factorization.

196577440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5521 (or 5513 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 43.

The square root of 196577440 is about 14020.6076901110. The cubic root of 196577440 is about 581.4484605381.

The spelling of 196577440 in words is "one hundred ninety-six million, five hundred seventy-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 233 466 932 1165 1864 2330 3728 4660 5273 7456 9320 10546 18640 21092 26365 37280 42184 52730 84368 105460 168736 210920 421840 843680 1228609 2457218 4914436 6143045 9828872 12286090 19657744 24572180 39315488 49144360 98288720 196577440